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A238259
Area of smallest square containing n dominoes with short side lengths 1, 2, ..., n.
1
0, 4, 16, 36, 64, 121, 196, 289, 441, 576, 784, 1024, 1369, 1681, 2116, 2500, 3025, 3600, 4356, 5041
OFFSET
0,2
COMMENTS
a(n) >= ceiling(n*(n + 1)*(2n + 1)/3).
FORMULA
a(n) = A237886(n)^2.
EXAMPLE
Illustration:
.
. - - a - - - a a - - - - - - - - a a b b
. a a a - - - b b b b - - c c c c c c b b
. b b b b b b b b - - c c c c c c b b
. b b b b c c c c c c c c c c c c b b
. c c c c c c d d d d d d d d
. c c c c c c d d d d d d d d
. d d d d d d d d
. d d d d d d d d
.
. 4 16 36 64
.
CROSSREFS
Cf. A237986.
Sequence in context: A016742 A221285 A121317 * A373559 A063755 A166721
KEYWORD
nonn,hard,more
AUTHOR
Ivan Panchenko, Feb 21 2014
STATUS
approved